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The probability that atleast one of the ...

The probability that atleast one of the two events A and B occurs is 0.6. If A and B occur simultaneously with probability 0.3, evaluate `P(barA)+P(barB)`.

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To solve the problem, we need to use the properties of probability. We are given the following information: 1. The probability that at least one of the two events A and B occurs, denoted as \( P(A \cup B) \), is 0.6. 2. The probability that both events A and B occur simultaneously, denoted as \( P(A \cap B) \), is 0.3. We need to evaluate \( P(\bar{A}) + P(\bar{B}) \), where \( \bar{A} \) and \( \bar{B} \) are the complements of events A and B, respectively. ### Step 1: Use the formula for the union of two events ...
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NCERT EXEMPLAR-PROBABILITY-Probability
  1. For a loaded die, the probabilities of outcomes are given as under: P(...

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  2. Refer to question 1 above. If the die were fair, determine whether or ...

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  3. The probability that atleast one of the two events A and B occurs is 0...

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  4. A bag contains 5 red marbles and 3 black marbles. Three marbles are dr...

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  5. Two dice are thrown together and the total score is noted. The event E...

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  6. Explain why the experiment of tossing a coin three times is said to ha...

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  7. If A and B are two events such P(A)=1/2,P(B)=1/3and P(AcapB)=1/4,the...

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  8. Three events A, B and C have probalities 2/5,1/3 and 1/2, respectively...

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  9. Let E(1) and E(2) be two independent events such that P(E(1))=P(1) and...

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  10. A discrete random variable X has the probability distribution as given...

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  11. Prove that (i) P(A)=P(AcapB)+P(AcapbarB) (ii) P(AcupB)=P(AcapB)+P(...

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  12. If x is the number of tails in three tosses of a coin, then determine ...

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  13. In a dice game , a player pays a stake of ₹1 for each throw of a die. ...

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  14. Three dice are thrown at the same time. Find the probability of getti...

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  15. Suppose 10000 tickets are sold in a lottery each for ₹ 1. First prize ...

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  16. A bag contains 4 white and 5 black balls. Another bag contains 9 white...

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  17. A bag contains 3 white and 2 black balls and another bag contains 2 ...

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  18. A box has 5 blue and 4 red balls. One ball is drawn at random and repl...

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  19. Four cards are successively drawn without replacement from a deck of 5...

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  20. If a die is thrown 5 times, then find the probability that an odd numb...

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